Graph the curves y x n , 0 < x < 1, for n 0, 1, 2, 3, 4, . . . on a common screen. By

Chapter 11, Problem 78

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Graph the curves y x n , 0 < x < 1, for n 0, 1, 2, 3, 4, . . . on a common screen. By finding the areas between successive curves, give a geometric demonstration of the fact, shown in Example 8, that o ` n1 1 nsn 1 1d 1

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